DISINI 2013CayleySolution
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Since the sum of the digits does not depend on the order of the digits, then rearranging the digits of a positive integer that is divisible by 3 produces another positive integer
Part marks will be awarded only if relevant work is shown in the space provided in the answer booklet.. Let A, B and C be non-zero digits, so that BC is a two-digit positive
Since the digits in the decimal expansion repeat with period 6, then the integer consists of 16 copies of the digits 714285 followed by 714... This is 69 digits
The final digit (the units digit) must equal the hundreds digit, thus there is no choice for the units digit since it has already been chosen. In total, there are 9 × 10 choices for
To find the smallest possible sum, we first choose the tens digit of each number to be as small as possible. Therefore, we choose 5 and 6 as the two
When two integers are multiplied together, the final two digits (the tens digit and the units digits) of the product are determined by the final two digits of each of the two
A nine-digit number contains each of the digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 exactly once, and every two adjacent digits of this nine-digit number form a two-digit number which is
Arrange the digits 1,2,3,4 to form the largest possible four-digit number without repeating any digit.. Ethan bought 100
